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Finding the Third Proportional to 2,102.06 and 2,327.06

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Solution

The third proportional to 2,102.06 and 2,327.06 is: 2,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.06 : 2,327.06 = 2,327.06 : x
  2. Step 2: Convert to fraction form
    2,102.06/2,327.06 = 2,327.06/x
  3. Step 3: Cross multiply
    2,102.06x = 2,327.06 × 2,327.06
  4. Step 4: Simplify right side
    2,102.06x = 5,415,219.88
  5. Step 5: Solve for x
    x = 5,415,219.88/2,102.06
  6. Step 6: Final answer
    x = 2,576.15

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.